## zipp 3 years ago I'm new to trigonometry. Can someone help me. Convert each angle in degrees to radians. Express your answer as a multiple of π. 240°.

1. lgbasallote

to change degree to radian just multiply by $$\frac{\pi}{180}$$

2. cwrw238

hint: 180 degrees = pi radians

3. Hero

Whatever the angle is, multiply it by $$\frac{\pi}{180}$$

4. Hero

then simplify it

5. cwrw238

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6. Calcmathlete

Alright. Radians can be very simple once you understand what you're doing. You're basically multiplying by a conversion factor. Conversion factors always have a value of 1. For instance, $$\LARGE\frac{1 m}{100cm}$$ is a conversion factor. The conversion factor you use here is $$\LARGE\frac{π}{180º}$$ and $$\LARGE \frac{180º}{π}$$. It varies depending on which one you are doing. $$\LARGE\frac{π}{180º}$$is used to convert from degrees to radians. $$\LARGE \frac{180º}{π}$$ is used to convert radians to degrees. Here's what happens in each case. Let's say we have 2π and we're trying to convert it to degrees. $\frac{2π}{1} \times \frac{180º}{π} \implies 2\cancel{π} \times \frac{180º}{\cancel{π}} \implies 360º$Now let's say you have 360º and you need to convert it to radians. $360º \times \frac{π}{180º} \implies 360\cancel{º} \times \frac{π}{180\cancel{º}} \implies \frac{360π}{180} \implies 2π$Do you see how to do it now?